At any rate, one can see how the Ahlswede-Winter bound arises as the sum of largest eigenvalues.

The vector converges to an eigenvector of the largest eigenvalue.

This sequence converges to the eigenvector corresponding to the largest eigenvalue, .

There is also the notion of the spectral radius, commonly taken as the largest eigenvalue.

As Harris and Stephens (1988) point out, the matrix centered on corner points will have two large, positive eigenvalues.

Corner points have large, positive eigenvalues and would thus have a large Harris measure.

As this happens, will converge to the largest eigenvalue and to the associated eigenvector.

In most cases, the dominant factor (with the largest eigenvalue) is the Social Component, separating rich and poor in the city.

By equating the eigenvector corresponding to the largest eigenvalue with the direction of the curve:

Moreover, this eigenvalue is the largest eigenvalue of M.